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UPSC NDA I 2024 Mathematics Paper

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Consider the following for the next two (02) items that follow :
Let f(x)=‌

x

ln‌x

;(x>1)

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Question : 83 of 120

Marks: +1, -0

Consider the following statements :
1. f(x) is increasing in the interval (e,∞)
2. f(x) is decreasing in the interval (1,e)
3. 9‌ln‌7>7‌ln‌9
Which of the statements given above are correct?

1 and 2 only
2 and 3 only
1 and 3 only
1,2 and 3

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